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Book
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Chapter
Introduction
The past two decades witnessed a remarkable increase in activity in the study of noise-driven escape from metastable states. Reactive processes take place while the system is undergoing interactions with its envi...
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Chapter
Surmounting Fluctuating Barriers
Escape over fluctuating barriers in the presence of thermal white noise is addressed. Several general results are established, for stochastic barrier fluctuations being controlled by colored Gaussian noise. Our f...
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Article
Hop** and phase shifts in noisy periodically driven bistable systems
We consider a periodically driven bistable system in the presence of fluctuations. In a number of recent papers it has been shown that the amplitude of the response of the noisy system to periodic modulations ...
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Article
Lasers with injected signals: Fluctuations and linewidths
We consider a single mode laser coupled with an external periodic field. The statistical properties of the laser field (photon statistics) are studied under the combined action of fluctuations due to spontaneo...
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Article
Tunneling in a periodically driven bistable system
The influence of periodic driving on coherent tunneling is investigated, using a quartic double-well potential in a monochromatic external filed as a working example. Extensive numerical studies of the long-ti...
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Article
Path integral solutions for non-Markovian processes
For a nonlinear stochastic flow driven by Markovian or non-Markovian colored noise ζ(t) we present the path integral solution for the single-event probabilityp(x,t). The solution has the structure of a complex-va...
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Article
Non-Markov processes: The problem of the mean first passage time
The theory of the mean first passage time is developed for a general discrete non-Markov process whose time evolution is governed by a generalized master equation. The mean first passage time is determined by ...